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Finding the Fourth Proportional to 3,614.94, 4,988.34 and 2,021.58

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Solution

The fourth proportional to 3,614.94, 4,988.34 and 2,021.58 is: 2,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.94 : 4,988.34 = 2,021.58 : x
  2. Step 2: Convert to fraction form
    3,614.94/4,988.34 = 2,021.58/x
  3. Step 3: Cross multiply
    3,614.94x = 4,988.34 × 2,021.58
  4. Step 4: Simplify right side
    3,614.94x = 10,084,328.38
  5. Step 5: Solve for x
    x = 10,084,328.38/3,614.94
  6. Step 6: Final answer
    x = 2,789.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.